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A196950 T(n,k)=Number of nXk 0..4 arrays with each element x equal to the number of its horizontal and vertical neighbors equal to 4,1,0,2,3 for x=0,1,2,3,4.

%I A196950 #7 Jun 02 2025 04:38:32
%S A196950 1,2,2,4,11,4,6,38,38,6,12,136,210,136,12,22,496,1416,1416,496,22,40,
%T A196950 1792,9199,18060,9199,1792,40,74,6440,60206,220433,220433,60206,6440,
%U A196950 74,136,23306,393585,2711711,5039158,2711711,393585,23306,136,250,84180
%N A196950 T(n,k)=Number of nXk 0..4 arrays with each element x equal to the number of its horizontal and vertical neighbors equal to 4,1,0,2,3 for x=0,1,2,3,4.
%C A196950 Every 0 is next to 0 4's, every 1 is next to 1 1's, every 2 is next to 2 0's, every 3 is next to 3 2's, every 4 is next to 4 3's
%C A196950 Table starts
%C A196950 ...1......2.........4...........6.............12................22
%C A196950 ...2.....11........38.........136............496..............1792
%C A196950 ...4.....38.......210........1416...........9199.............60206
%C A196950 ...6....136......1416.......18060.........220433...........2711711
%C A196950 ..12....496......9199......220433........5039158.........115982718
%C A196950 ..22...1792.....60206.....2711711......115982718........4998342821
%C A196950 ..40...6440....393585....33344883.....2668162530......215125975535
%C A196950 ..74..23306...2575161...410312728....61397041229.....9264434681345
%C A196950 .136..84180..16853437..5047886243..1412800280934...398999272140802
%C A196950 .250.303664.110272832.62090427845.32510004942226.17183027304906341
%H A196950 R. H. Hardin, <a href="/A196950/b196950.txt">Table of n, a(n) for n = 1..144</a>
%e A196950 Some solutions for n=6 k=4
%e A196950 ..0..0..0..0....0..0..0..2....0..0..0..0....0..0..0..0....0..0..0..0
%e A196950 ..0..0..0..0....0..0..0..0....0..0..0..0....0..0..1..0....0..0..0..2
%e A196950 ..2..0..0..0....1..2..1..1....0..1..1..0....1..0..1..0....2..0..0..1
%e A196950 ..2..0..1..2....1..0..0..2....1..0..0..0....1..2..0..0....1..2..2..1
%e A196950 ..0..0..1..0....0..0..0..0....1..2..1..0....0..1..0..0....1..0..0..2
%e A196950 ..1..1..0..0....0..2..2..0....0..0..1..0....0..1..2..0....0..0..0..0
%Y A196950 Column 1 is A196700
%Y A196950 Column 2 is A196850
%K A196950 nonn,tabl
%O A196950 1,2
%A A196950 _R. H. Hardin_ Oct 08 2011